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Match the reasons to each statement given for the geometric proof.
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Mathematics, 15.01.2021 21:30 maritsaledesma
Will give brainliest!
Match the reasons to each statement given for the geometric proof.
Given: ABCD is a parallelogram and AC ≅ BD
Prove: ∠A = 90°
1. AB≅DC and AD≅BC
2. 2∠A = 180°
3. ∠A + ∠D = 180°
4. ΔBAD≅ΔCDA
5. ∠A = 90°
6. ABCD is a parallelogram and AC≅BD
7. AD≅AD
8. ∠A = ∠D
a. Substitution property of equality
b. Division property of equality
c. Side-Side-Side congruence (SSS)
d. Given
e. Definition of a parallelogram
f. Consecutive angles of a parallelogram are supplementary
g. Corresponding parts of congruent triangles are congruent (CPCTC)
h. Reflexive property of congruence
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